Simplify 2(3v+9)−14−6(−5v−4) .(1 point)

Question

Responses

−24v−20
negative 24 v minus 20

36v+28
36 v plus 28

106v+98
106 v plus 98

−6v−13

Answer 1

To simplify the expression \( 2(3v+9)−14−6(−5v−4) \), follow these steps:

1. Distribute the \( 2 \) and \( -6 \):

\[ 2(3v + 9) = 6v + 18 \]

\[ -6(-5v - 4) = 30v + 24 \]

2. Replace the original expression with these simplifications:

\[ 6v + 18 - 14 + 30v + 24 \]

3. Combine like terms:

• Combine \( 6v \) and \( 30v \): \[ 6v + 30v = 36v \]

• Combine the constant terms \( 18 - 14 + 24 \): \[ 18 - 14 = 4 \] \[ 4 + 24 = 28 \]

4. Therefore, the simplified expression is:

\[ 36v + 28 \]

So the correct response is:

36v + 28.